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Finding the Third Proportional to 362,382 and 852,663

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Solution

The third proportional to 362,382 and 852,663 is: 2,006,264.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,382 : 852,663 = 852,663 : x
  2. Step 2: Convert to fraction form
    362,382/852,663 = 852,663/x
  3. Step 3: Cross multiply
    362,382x = 852,663 × 852,663
  4. Step 4: Simplify right side
    362,382x = 727,034,191,569
  5. Step 5: Solve for x
    x = 727,034,191,569/362,382
  6. Step 6: Final answer
    x = 2,006,264.64

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.